돌리다 is making something go round, and the clause in front gives the setup. Physically it is holding the crawfish and twisting, pulling it out and spinning it, or taking a road that loops around. It is also the verb for running a machine, as in loading it all in and running it, or tossing the food in sauce before microwaving. A third sense, sending something round to people, shows up in recording music and putting it into circulation.