Raider's responsible for these raids on supply (7)

I believe the answer is:

inroads

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'raider's responsible for these' is the definition.
The definition suggests an adverb but the answer is not.

'raids on supply' is the wordplay.
'supply' indicates anagramming the letters (in a supple way).
'raids'+'on'='raidson'
'raidson' anagrammed gives 'INROADS'.

Can you help me to learn more?

(Other definitions for inroads that I've seen before include "raid" , "Major acts of encroachment" , "Hostile incursions" , "Progress" , "large quantities consumed when these are made" .)

I've seen this clue in The Independent.

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