Crossword Genius

A place of mutual hostility or competitiveness (5,3)

Ross

I believe the answer is:

snake pit

(Other definitions for snake pit that I've seen before include "Neat skip (anag) - place of ruthless competition" , "reptile house?" , "Place characterised by disordered relationships; take nips (anag.)" , "Skin tape (anag.)" , "Nest of reptiles" .)

I've seen this clue in The Times.
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