Pair of oafs each hiding baby's first toy (2-2)

I believe the answer is:

yo-yo

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'toy' is the definition.
(I know that yo-yo is a type of toy)

I can't explain the rest of the clue.

(Other definitions for yo-yo that I've seen before include "Toy consisting of a spool and string" , "Toy - fluctuate wildly" , "Spinning toy" , "Toy made to rise and fall on string" , "An up-and-down toy on a string" .)

I've seen this clue in The Times.

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