I have seen all of these words used : dilly-dally, dither, vacillate, waver
Also a nice idiom: beat around the bush
dilly-dally: to waste time, especially by indecision
don't dillydally on the way to the store
dither: to delay taking action because you are not sure about
what to do
She did not dither about what to do next.
vacillate: to repeatedly change your opinions or desires
She has vacillated on this issue.
waver: to go back and forth between choices or opinions : to be
uncertain about what you think about something or someone
people who are still wavering between the two candidates
beat around the bush: to avoid answering a question; to stall; to
Stop beating around the bush and answer my question.
Edit: Found the following related idioms.
sit on the fence:
Fig. not to take sides in
a dispute; not to make a clear choice between two possibilities.
on the image of someone straddling a fence, representing indecision.)
When Jane and Tom argue, it is best to sit on the fence and not make
either of them angry. No one knows which of the candidates Joan will
vote for. She's sitting on the fence.
cold feet: noun, Informal.
1. a loss or lack of courage or confidence; an onset of uncertainty or fear: She got cold feet when asked to sing a solo.