Glut with eats? (4)

I believe the answer is:

sate

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

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

'eats?' is the wordplay.
'eats' anagrams to 'SATE'.
However, I am not clear how the anagram is indicated.

'with' is the link.

Can you help me to learn more?

(Other definitions for sate that I've seen before include "cloy" , "Fill completely" , "Supply too much" , "Satisfy completely" , "Indonesian food" .)

I've seen this clue in the Evening Standard.

Want a hint initially instead of a full solution? Install my app