I don't think it will. It hasn't so far, despite there having been linux phones in the past, and it's got the Windows Phone/Symbian problem where users don't go to it because it lacks support for the apps they use, and developers don't support it because it doesn't have much by way of users.

There are a few key issues with mobile Linux:

1. UIs that have simply not gotten any attention
2. A severe lack of decent hardware
3. Scaled down desktop apps on a phone (seriously who thought this was a good idea)
4. No security whatsoever
5. Basic features missing or requiring a significant degree of tinkering to get working such as audio or calling