Is it worth the time to review indexes suggested by index tuning advisers?
Remember it is just an advisor...just as in life they are not always right on the path that you should take. It's free advise to take or leave.

For the most part it is basing it off the DMV data in SQL Server so it can even fluctuate on what it sees as being an issue. I generally will them as a guide.

Example:

I see a common set of tables showing "suggested" indexes. Well that would tell me then maybe the current indexes, for those tables, need to be reviewed against the current load that is running. Index architecut can change over the life of an application, the indexes created when during release version 1.0 may not be the same once you reach version 5.0. 

I would then maybe go use sp_BlitzIndex or Jason Strate's Index Analysis to look at the table and indexes. Maybe go through and capture the execution plans for thost tables, or pull them from cache.

Remember though, it is worth testing any index you add to a table if you can. If not and you are going through modifying indexes, then make sure you make a script of the current indexes so you can restore them.