Keen or slow to leave Tinseltown? (6)

I believe the answer is:

intent

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

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

(Other definitions for intent that I've seen before include "7 Purpose; fixed (upon)" , "With mind fixed on purpose, concentrated" , "Determined or resolved" , "'Engrossed, absorbed (6)'" , "Eager" .)

I've seen this clue in the Irish Times (Crosaire) and the Irish Times.

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