Itchy, let loose in bad-tempered way (8)

I believe the answer is:

tetchily

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'itchy let loose in bad-tempered way' is the definition.
I can't tell whether this definition defines the answer.

'itchy let loose' is the wordplay.
'loose' indicates anagramming the letters (letters are loosened from their original positions).
'itchy'+'let'='itchylet'
'itchylet' with letters rearranged gives 'TETCHILY'.

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(Other definitions for tetchily that I've seen before include "Irritably" , "In a bad-tempered manner" , "in a grumpy mood?" .)

I've seen this clue in The Times.

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