Nest Egg:
Savings set aside for future use.
Never Bite The Hand That Feeds You:
Don't hurt anyone that helps you.
New kid on the block:
Someone new to the group or area.
New York Minute:
A minute that seems to go by quickly, especially in a fast paced environment.
No Dice:
To not agree. To not accept a proposition.
No Room to Swing a Cat:
An unsually small or confined space.
Not Playing With a Full Deck:
Someone who lacks intelligence.
This sounds like London. Certainly not the queen's English but not Cockney either by any means—just a decently educated bloke!