Entertainer Chuck plus reindeer (3-6)

I believe the answer is:

tap-dancer

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

'entertainer' is the definition.
(I know that tap-dancer is a type of dancer)

'chuck plus reindeer' is the wordplay.
'chuck plus' becomes 'tap' (I can't justify this - if you can you should believe this answer much more).
'reindeer' becomes 'dancer' (name of one of Santa Claus reindeer).
'tap'+'dancer'='TAP-DANCER'

Can you help me to learn more?

(Other definitions for tap-dancer that I've seen before include "Astaire or Kelly, for example" , "Light-footed individual" , "one tripping over the sink?" .)

I've seen this clue in The Guardian.

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