BTC will always be BTC, so nothing is going to change there.
That is not necessarily true if somebody else is holding your coins for you. They could say "We are following the BCC side of the fork. All BTC that we held before the fork is now BCC."
Obviously that's extremely unlikely though. The main risk is an exchange ignoring BCC, if BCC stays at a couple percent of the BTC price.
In the case of Poloniex, one of the shadiest exchanges on earth, that's about 100% likely to happen.
these are the exchanges that we hacked
Hey, I've got a couple of jokes about exchanges:
"Hacked"
"DDoS attack"
"Your coins are safe"
"Unscheduled maintenance"
EDIT: After being corrected by junan1, I can see that there are
precisely four jokes and not just a couple. Keep that in mind
