Tower of gifts? (8)

I believe the answer is:

reindeer

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'tower of gifts?' is the definition.
Although both the answer and definition are singular nouns, I can't understand how one could define the other.

This is all the clue.

Can you help me to learn more?

(Other definitions for reindeer that I've seen before include "for travellers from Lapland" , "Antlered animal" , "Red-nosed Rudolf is one" , "Eg, Santa's Rudolph" , "D [DECORATION]" .)

I've seen this clue in The Hindu.

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