Don't know where you are training but here is my advise:
Dress for the environment and fill your pockets with handy stuff because often times when aircraft crash the survival kit is inaccessible and all you have to survive with is what you're wearing.
Carry at least a lighter, pocket knife, signaling device, and during summer in remote areas always have insect repellant with you.
The test to see if you are appopriately dressed: spend a couple of hours outside after dark -preferrably midnight- , just sitting around -wearing what you would normally have with you when flying,. If your not shivering after a couple of hours then I would say you are appropriately dresssed.
I'm Canadian so thinking about survival is essential, Of course if you fly in an urban environment an Amex card would probably suffice.