The most common and most likely answer to this crossword clue is the 7 letter word SWEETIE
I've seen this crossword clue in The Guardian
S
W
E
E
T
I
E
More clues leading to the result SWEETIE
- Son — little couple’s beloved one
- Pet survey cut short by obligation
- Very good person that is hugging little darling
- Candy Darling
- Second go to secure love
- Variety of citrus fruit that’s dear
- Commitment follows second tiny baby
- Pet‘s smalland game
- Singular couple adopting little darling
- Small ribbon perhaps around small cupcake
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 = sweetie.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 SWEETIE mean?
SWEETIE noun- (often as a term of address) A person who is much loved.
- A sweetheart.
- A fruit that is a crossbreed between a grapefruit and a pomelo, originating in Israel.
- A sweet.