Like some dogs, raced around too much (7)

I believe the answer is:

spotted

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'like some dogs raced around too much' is the definition.
I can't tell whether this defines the answer.

'raced around too much' is the wordplay.
'raced' becomes 'sped' ('speed' can be a synonym of 'race').
'around' is an insertion indicator.
'too much' becomes 'OTT' (short for over the top).
'sped' enclosing 'ott' is 'SPOTTED'.

Can you help me to learn more?

(Other definitions for spotted that I've seen before include "Caught sight of; dotty" , "Saw; speckled" , "Seen; saw" , "As Dick may be" , "Espied" .)

I've seen this clue in The Times.

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