Supports present but makes no move (5,3)

I believe the answer is:

stays put

'makes no move' is the definition.

'supports present' is the wordplay.
'supports' becomes 'stays' (I've seen this before).
'present' becomes 'put'.
'stays'+'put'='STAYS PUT'

'but' acts as a link.

(Other definitions for stays put that I've seen before include "Remains" , "anchored" .)

I've seen this clue in The Times.

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