toing and froing
noun
[ ˌtuːɪŋ (ə)n ˈfrəʊɪŋ ]
• constant movement or travel back and forth.
• "it does cost a lot, all this toing and froing up to London"
to and fro
verb
• move constantly backwards and forwards.
• "the ducks were toing and froing"
Origin:
Middle English: fro from Old Norse frá (see from).