Reorder a list in Python to avoid repeats
Ideally a function will return a particular type of value. Python may be dynamic and allow you to return anything, but it's less surprising behaviour if you don't return two types of value. Instead, consider returning None or an empty list. Both of which will still evaluate as False when tested because of Python's truthiness. I'd personally suggest None, as an empty list might be mistaken for a useable list. Python will automatically use None as the return value in the absence of any other argument, so just using return returns None.

You should use snake_case for naming variables and functions, so checkRepeat should be check_repeat. I also don't like lst as a name. It's good that you're avoiding shadowing the built in list, but lst is unclear and can look like 1st. Perhaps iterable or source could be better names.

hasRepeat doesn't need to be a nested function, you could have it separated as it's own. Having it nested implies that you're trying to do a more complicated structure when really it's just because you call hasRepeat in checkRepeat. Also, checkRepeat isn't a good name as it's actually removing repeating values (if it can). Instead perhaps something like reorder_repeats? It would not be the clearest name because it's not an easy process to describe, but the docstring can provide help there too.

You should have spaces either side of your mathermatical operators, it makes them more readable and is recommended by the style guide. So this:

offset=numIter=0        


should be this: 

offset = numIter = 0        


Also try to avoid inline comments, they make lines exceedingly long. They should be used sparingly for short comments. If your comment is a sentence it will almost always need its own line. The style guide also says to keep below 79 characters per line, which this comment invalidates:

if Counter(lst).most_common()[0][1]*2 &gt; len(lst)+1: #checks if it will be impossible to find a working order


Split it onto the line above and it's much more readable.    

# Check if it will be impossible to find a working order
if Counter(lst).most_common()[0][1] * 2 &gt; len(lst) + 1:


Instead of curElt try the name element or item. Shortened words often make for odd names that people can easily interpret differently to you. Except that you don't end up using this value at all. Instead you access elements by their index, which I personally think is more readable in this case and better, but then you could just loop with this:

    for i in range(len(source)):


What's the point of numIter? It's the exact same value of offset but never even used? If it was a testing value you should remove it now. While we're on it, I don't entirely understand offset, a comment about it would be helpful when you're incrementing the values.

Don't use a bare except. It's very bad practice because you might ignore all sorts of errors that you should really be paying attention to. In this case, it seems like IndexError is what you're expectin to happen, so use that specifically.

The line where you swap values is too long and hard to read, instead you should calculate the index of your second value on the line before:

            if lst[i] == lst[i+1]:
                index = (i + offset) % len(lst)  # Wrap around the list
                lst[i+1], lst[index] = lst[index], lst[i+1] 


Now that it's clear that index is the same value on either side, it's obvious that you're swapping values. You can make this comment inline since it's a brief note about the meaning of an unusual calculation.

Here's how I'd put the script together:

from itertools import groupby
from collections import Counter

def has_repeat(source):
    """Returns true if there are any repeats"""

    return len([x[0] for x in groupby(source)]) &lt; len(source)

def check_repeat(source):
    """Returns a list that has no repeating elements or None if such a list can't be found"""

    # Check if it will be impossible to find a working order
    if Counter(source).most_common()[0][1] * 2 &gt; len(source) + 1:
        return

    offset = 0        
    while has_repeat(source):
        for i in range(len(source)):
            try:
                if source[i] == source[i+1]:
                    index = (i + offset) % len(source)  # Wrap around the list
                    source[i+1], source[index] = source[index], source[i+1]
            except IndexError:
                break
        offset += 1
    return source