To Run Around
intransitive verb, godan verb
To 駆ける is "to gallop." 回る is "to revolve." So if you're galloping around in a revolving fashion, you are going to run around.
かけまわる
The readings come from 駆ける and 回る.
レシピにサフランがいるって書いてあったから、あちこち駆け回って探したんだけど見つからなくて、結局今回はサフランは使わなかったの。
The recipe said to put in saffron, so I ran around searching for it everywhere, but I couldn’t find any, so I didn’t add saffron this time.