Crossword Genius

Improve cries of derision on time (5)

Ross

I believe the answer is:

boost

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'improve' is the definition.
(thesaurus)

'cries of derision on time' is the wordplay.
'cries of derision' becomes 'boos' (I can't justify this - if you can you should believe this answer much more).
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'time' becomes 't' (abbreviation).
'boos'+'t'='BOOST'

Can you help me to learn more?

(Other definitions for boost that I've seen before include "Push upwards, help" , "Increase (strength or morale)" , "Give more impetus to" , "Fillip" , "Recharge" .)

I've seen this clue in The Mirror.
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