Anger after boy’s Christmas gift (12)

I believe the answer is:

frankincense

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'gift' is the definition.
(gift given to the baby Jesus)

'anger after boy's christmas' is the wordplay.
'anger' becomes 'incense' (to incense is make angry).
'after' is a charade indicator (letters next to each other).
'boy's christmas' becomes 'frank' (I can't explain this - if you can you should believe this answer much more).
'incense' put after 'frank' is 'FRANKINCENSE'.

Can you help me to learn more?

(Other definitions for frankincense that I've seen before include "One of the gifts of the Magi" , "Gum resin used as incense" , "One of the Magi's gifts" , "Source of pleasant scent" , "Gift of one of the Magi" .)

I've seen this clue in The Times.

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