From Wiktionary, the free dictionary
at- + stebėti with reflexive infix -si-.
atsistebėti (third-person present tense atsistebi, third-person past tense atsistebėjo)
- to take one's eyes off (of)
- Negali tavimi atsistebėti.
- [He/She] can't take [his/her] eyes off you.