It implies a feeling of uncertainty or indecision, often accompanied by a back-and-forth process of weighing options.
Here are some examples of how it's used:
* "She was dithering over which dress to wear to the party."
* "The committee dithered over the budget for months before finally approving it."
* "He was dithering over whether to accept the job offer or not."
The word "dithering" often carries a slightly negative connotation, suggesting that the person is being indecisive and perhaps wasting time.