Run away without paying for excellent piece of cheesy snack (5,7)

I believe the answer is:

welsh rarebit

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

'snack' is the definition.
(I have seen 'Toasted snack ' mean 'welsh rarebit' so perhaps 'snack' could also mean 'welsh rarebit')

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

Can you help me to learn more?

(Other definitions for welsh rarebit that I've seen before include "Cheese on toast" , "Cheesy dish" , "cheesy meal" , "Toasted snack" .)

I've seen this clue in The Guardian.

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