Get faster account, and celebrate, having lost heart (10)

I believe the answer is:

accelerate

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'get faster' is the definition.
I can't tell whether this definition defines the answer.

'account and celebrate having lost heart' is the wordplay.
'account' becomes 'ac' (abbreviation for account).
'and' is a charade indicator (letters next to each other).
'having lost heart' suggests removing the centre.
'celebrate' with its middle taken out is 'celerate'.
'ac'+'celerate'='ACCELERATE'

Can you help me to learn more?

(Other definitions for accelerate that I've seen before include "Quicken" , "Crank up" , "Go faster" , "Increase speed" , "snowball" .)

I've seen this clue in The Times.

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