Green’s Dictionary of Slang

bats n.1

[? they are no more comfortable than walking on a pair of flat bats]

1. a pair of bad boots.

[UK]Hotten Dict. of Modern Sl. etc.
[UK]Hotten Sl. Dict.
[UK]Sl. Dict.
[SA]K. Cage Gayle 56/1: bats n. shoes (What Hilda bats!) (cf. gypsies, stilettos) [British Polari].

2. (Ling. Fr./Polari) feet.

[UK]Thieves Slang ms list from District Police Training Centre, Ryton-on-Dunsmore, Warwicks 1: Bats: Feet.
[UK]F. Norman in Sun. Graphic 10 Aug. in Norman’s London (1969) 27: My bats were buzzing from all the walk about I had been doing.
[US] (ref. to 1945) in Walking After Midnight (1989) 51: This was known as Parlyaree [...] ‘bats’ – feet; ‘Martinis’ – hands.