Cockney rhyming slang for hungry. Hank Marvin, ergo starvin'.
"Yep, that was the lunch horn, Brian. Wanna go and get a pie?"
"Not 'arf. I didn't have any breakfast this morning and I'm bleedin' Hank Marvin."
or, to shorten it:
"Blimey, that tea were lush, love. And me bein' Hank all day it right hit the spot."