Bird flying east or west just the same? (3)

I believe the answer is:

tit

I believe this is a double definition.

'bird' is the first definition.
(tit is a kind of bird)

'flying east or west just the same?' is the second definition.

(Other definitions for tit that I've seen before include "Small bird that lives off insects" , "What you swap for tat" , "Small garden bird" , "Small songbird" , "18's [BIRD]" .)

I've seen this clue in The Times.

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