to‧ing and fro‧ing /ˌtuːɪŋ ən ˈfrəʊɪŋ $ -ˈfroʊ-/ noun [uncountable]

1. movement backwards and forwards many times between two or more places

2. a lot of activity that does not help you to do something:
After much toing and froing, they finally reached a decision.

[TahlilGaran] Dictionary of Contemporary English ▲

toing and froing
1.
going backwards and forwards between places.
The job involves a lot of toing and froing between London and New York.
(often + between)
2.
going from one method, idea, or plan to another in a way that wastes time when you are trying to achieve something.
The legal toing and froing will delay payment to Horden of the Ј10 million due on the contract.

[TahlilGaran] English Idioms Dictionary ▲

toing and froing
to be moving back and forth on an issue, to be changing one's mind about something
My father and mother have been toing and froing for several weeks about whether or not I can go to Japan to study.

[TahlilGaran] English Idioms Dictionary ▲