Sometimes im bored at my job and I want to play a quick round of poker, slots or dice. Is there any problem in setting an account with Tor and sending your BTC there and playing?
Well in your place i will be afraid from getting kicked from my work

Else just check if the gambling site allow creating/using TOR/VPN in their FAQ or contact their support
what about bitcoinvideocasino dice or slots? it doesn't show anything in the FAQ. I have tried in demo mode and it seem to work fine.