The most common and most likely answer to this crossword clue is the 6 letter word PIGLET
I've seen this crossword clue in Independent
P
I
G
L
E
T
Buddy explains!
The straight part
We know that "Baby" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case baby = piglet.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PIGLET mean?
PIGLET noun- A young pig