Making a connection after dropping large hint (7)

I believe the answer is:

inkling

I'm a little stuck... Click here to teach me more about this clue!

'hint' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

(Other definitions for inkling that I've seen before include "Clue" , "Suspicion, hunch" , "Slightest idea" , "Slight hint or suspicion" , "Linking with suspicion or hint" .)

I've seen this clue in The Sunday Times.

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