Here are the answers to the hints:

1. keeps babies clean (3 letters)	BIB
2. old-fashioned word for beer (3 letters)	ALE
3. a charged atom (3 letters)	ION
4. an arm or a leg (4 letters)	LIMB
5. soothing ointment (4 letters)	BALM
6. what people call you by (4 letters)	NAME
7. "it's your fault" (5 letters)	BLAME
8. a sour fruit (5 letters)	LEMON
9. can be moved (6 letters)	MOBILE
10. an Italian baby (7 letters)	BAMBINO

How many words did you find?
Here are 70, but there are at least 111

abalone able aeon ail ale alone babe bail bale balm bambino ban beam bean

bemoan bib bible bile bin bind blain blame boa bob boil bomb bombe bone

ebb elm ion lab lain lamb lame lane lea lean lemon lie limb limbo

lime line lion loam loan lobe loin lone mail main male maline man mane

mania manila meal mean melon men mile mine moan mob mobile mole nail name