Picked up headgear supplies for drilling (11)

I believe the answer is:

terebration

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'drilling' is the definition.
Both the answer and definition are singular nouns.
Perhaps there's a link between them I don't understand?

'picked up headgear supplies' is the wordplay.
'picked up' says the letters should be written in reverse.
'headgear' becomes 'beret' (beret is a kind of headgear).
'supplies' becomes 'ration'.
'beret' in reverse letter order is 'tereb'.
'tereb'+'ration'='TEREBRATION'

'for' is the link.

Can you help me to learn more?

I've seen this clue in The Hindu.

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