I have a Razr Maxx that I manually updated to ICS the day the OTA was available.
I had previously set up a couple of Yahoo/AT&T accounts and Gmail and they were working just fine.
Gmail continued to work but I stopped receiving push notifications from Yahoo/AT&T.
I found this post: https://community.verizonwireless.com/thread/772698
There was no way I was going to do a hard reset as a first option. Nor did I want to delete and re-enter all the account information for all the accounts. So I decided the easiest, first step would be to try the "clear the cache" "Alternate method".
Step 4 states "Press Volume Down to select Recovery then press Volume Up". However, every other step states to "press Power button" to select. I pressed "Power button" instead of pushing the volume up to select.
Upon complete restart I got notifications on all my Yahoo/AT&T accounts.
Hope this helps.