Displaying middle to amuse oneself (4)

I believe the answer is:

play

'amuse oneself' is the definition.
(synonyms)

'displaying middle' is the wordplay.
'middle' means to look at the middle letters.
The central letters of 'displaying' are 'PLAY'.

'to' acts as a link.

(Other definitions for play that I've seen before include "Frolic" , "Perform music" , "Stage work" , "Theatrical performance" , "Recreation" .)

I've seen this clue in The Irish Times.

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