東奔西走
tou.hon.sei.sou
Literally: east – run – west – run
Alternately: Keeping busy. Being on the go. Actively involving oneself in something.
Notes: There are a number of yojijukugo along the same lines, including 東走西奔 (tou.sou.sei.hon) and 東行西走 (tou.kou.sei.sou).

It’s (part of) the title of a pair of books, too! I don’t know what they’re about. Source. Oddly, not on Amazon.
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