Rare synonym for 爪楊枝 (つまようじ). Almost never used in modern speech; learners should use 爪楊枝 instead.
See also: 爪楊枝
小楊枝 is an old term; nowadays 爪楊枝 is the normal word.
The historical derivation is uncertain; the kanji 小 (small) and 楊枝 (toothpick) suggest a small toothpick, but the term is now obsolete.