Deals with trivial matter of ordering poet's gift (9)

I believe the answer is:

pettifogs

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'deals with trivial matter' is the definition.
Although both the answer and definition are verbs in their -s form, I can't understand how they can define each other.

'ordering poet's gift' is the wordplay.
'ordering' indicates anagramming the letters.
'poets'+'gift'='poetsgift'
'poetsgift' with letters rearranged gives 'PETTIFOGS'.

'of' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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