Modify a name for physical training (5)

I believe the answer is:

adapt

'modify' is the definition.
(to modify is to improve or adapt)

'a name for physical training' is the wordplay.
'a name' becomes 'ada' ().
'for' says to put letters next to each other.
'physical training' becomes 'PT' (Physical Training).
'ada'+'pt'='ADAPT'

(Other definitions for adapt that I've seen before include "match" , "Alter, amend" , "Make fit" , "Fashion" , "Convert to another use or situation" .)

I've seen this clue in the Evening Standard.

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