robovati

1. (+ dat.) to be a slave to; to be in thrall to
   Ne treba robovati predrasudama. — You shouldn't be a slave to prejudice.
   Mnogi ljudi danas robuju telefonima. — Many people today are slaves to their phones.
2. to be a slave; to live in slavery
   Narod je vekovima robovao pod tuđinom. — The people lived in slavery under foreign rule for centuries.

In the figurative sense it takes the dative: robovati navikama, modi.