Trade chip circuits at a very low price (9)

I believe the answer is:

dirtcheap

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'a very low price' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'trade chip circuits' is the wordplay.
'trade chip' anagrams to 'DIRTCHEAP'.
However, I am not clear how this is indicated.

'at' is the link.

Can you help me to learn more?

(Another definition for dirtcheap that I've seen is " Hardly costing anything".)

I've seen this clue in The Times.

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