Hastens to solve a chess problem (6)

I believe the answer is:

chases

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'hastens to solve' is the definition.
I can't tell whether this definition defines the answer.

'a chess problem' is the wordplay.
'problem' indicates an anagram.
'a'+'chess'='achess'
'achess' with letters rearranged gives 'CHASES'.

Can you help me to learn more?

(Other definitions for chases that I've seen before include "Pursues or follows" , "Follows in order to catch" , "Runs after, pursues" , "performs follow-up" .)

I've seen this clue in the Evening Standard.

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