Can I've the arse of [consumable item]

exp.

Heard in Tipperary

Used when asking for the last bit of something, most commonly a roll, bag of chips, and sometimes a cigarette.

In use

Can I've the arse of yer chips?" "Here, I've no lunch, can I've the arse of that roll?

Posh English

Might I trouble you for the remaining tail-end of your fried potatoes?