Riding fan got on badly, moving back and forth

Longman Dictionary of Contemporary English Word definitions in Longman Dictionary of Contemporary English
noun EXAMPLES FROM CORPUS ▪ Across the Rhine, there is less toing and froing . ▪ Meanwhile Mr Gittings' head was obviously beginning to spin from all this toing and froing . ▪ This was tedious work, involving, as you can imagine, a great deal of toing and ...

Wiktionary Word definitions in Wiktionary
vb. (present participle of to and fro English)