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She bounced around with excitement.
Literal
She [topic-は] excited-being-(and), bounced-around.
跳ね回る is a transparent compound verb: 跳ねる ('to leap, bounce') + 回る ('to go around') = 'to bounce around all over the place.' The ~回る suffix on a base verb spreads the action across an area: 走り回る ('run around'), 探し回る ('search all over'), 飛び回る ('fly around'). The te-form 興奮して ('having gotten excited') chains causally: 'because she was excited, she bounced around.'