Bound to mean a change of diet (4)

I believe the answer is:

tied

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'bound' is the definition.
('tie' can be a synonym of 'bind')

'mean a change of diet' is the wordplay.
'diet' anagrams to 'TIED'.
Though, I'm unsure how the anagram is indicated.

'to' acts as a link.

Can you help me to learn more?

(Other definitions for tied that I've seen before include "eg Scored 1-1" , "(Of pub) brewery-owned" , "(Of pub) owned and run by a brewery" , "Bound or secured" , "Linked; restricted" .)

I've seen this clue in The Globe and Mail.

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