puziti

1. to crawl; to creep
   Beba je počela da puzi. — The baby has started crawling.
   Zmija je puzila kroz travu. — A snake was crawling through the grass.
2. (of traffic) to crawl
   Kolone vozila puze kroz centar grada. — Lines of cars are crawling through the city centre.
3. derog. (pred + instr.) to grovel; to crawl
   Ne želim da puzim pred šefom. — I don't want to grovel to my boss.
   On puzi pred svakim ko ima vlast. — He grovels before anyone with power.

In the sense "to grovel" it is usually used with "pred" + instrumental.