Got verbal offer Weds. Verbal confirmation of details yesterday, start date Monday. No written contract as of yet. Sure its all legit and it will come, but how do they expect me to get it reviewed etc.? in a few hours. Bah.

They are expecting you not to look at it or get it reviewed. They want you to roll over and accept it.
Tell them that you WILL NOT turn up until you've done both.
They'll whinge but they'll also recognise that they've been found out.
Are you desperate for the contract?
I've told them I will need it reviewing and the that it may be done within a day but I needed it first thing this morning at the latest. Totally agree re: not turning up until reviewed and changed if needed.
Might be worth talking to the client directly to let them know that the agency are messing around.
They are expecting you not to look at it or get it reviewed. They want you to roll over and accept it.
Tell them that you WILL NOT turn up until you've done both.
They'll whinge but they'll also recognise that they've been found out.