Crossword Genius

What can follow eggs in eastern liqueur? (11)

Ross

I believe the answer is:

benedictine

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

'liqueur?' is the definition.
(benedictine is a kind of liqueur)

'what can follow eggs in eastern' is the wordplay.
I cannot really understand how this works, but
'can' could be 'tin' (both are metal containers) and 'tin' is found in the answer.
'eastern' could be 'e' and 'e' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for benedictine that I've seen before include "Monk - nun - liqueur" , "Brother" , "Ampleforth, Downside order of monks" , "Liqueur - monastic order" , "Religious" .)

I've seen this clue in The Times.
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