Team cuts back time out (4)

I believe the answer is:

side

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'team' is the definition.
(both can mean a sports team)

'cuts back time out' is the wordplay.
'back' says to take the final letters.
'time out' becomes 'ide' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
The last letter of 'cuts' is 's'.
's'+'ide'='SIDE'

Can you help me to learn more?

(Other definitions for side that I've seen before include "Sporting team" , "Spin given to a ball by striking it off-centre" , "Dies for own team" , "pretentious attitude" , "Minor" .)

I've seen this clue in The Irish Times.

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