Can I use conductive silicone for anything I could use solder for?
Well, I had some fun with some conductive paint, which should be similar to your thing.
First of all, check resistance of the 'wire' of it.

The main problem is reliability of lines. Also, it should not be able to physically hold elements in place, unlike solder.

Might be used to repair broken traces on PCB and especially, flexible PCB (cellphones, keyboards).