Dieting led to being fired? (7)

I believe the answer is:

ignited

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

'being fired?' is the definition.
(fire can mean to ignite or trigger)

'dieting led' is the wordplay.
'dieting' anagrams to 'IGNITED'.
But, I am unsure how the anagram is indicated.

'to' acts as a link.

Can you help me to learn more?

(Other definitions for ignited that I've seen before include "Sparked off" , "Kindled" , "Gin diet (anag.)" , "Set alight" , "Caught fire" .)

I've seen this clue in The Irish Independent.

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