Green’s Dictionary of Slang

to make a fuss, to upbraid.

1879		‘’Arry on the River’ in Punch 9 Aug. 57/1: I do ’ate your hushabye sort-like, as puts on the fie-fie at noise.
1881		‘’Arry on Fashion’ in Punch 10 Sept. 110/1: You fie-fie a cat about cream, and then give ’er a chance at the jug.