The phrase "takes one's sweet time" means to do something slowly, without feeling rushed or pressured. There are several synonyms for this phrase that convey the same idea. For example, someone might "dilly-dally" or "procrastinate" when they are taking their sweet time. Others might "drag their feet" or "lollygag" instead of moving quickly. Someone could also "meander" or "saunter" when taking their sweet time, as opposed to hurrying. In any case, taking one's sweet time usually means enjoying the moment and not being in a hurry to move on to the next thing, which has its own appeal and benefits.