Wiktionary
vb. (context idiomatic English) To monitor; to keep track of; to watch.
WordNet
v. keep a record on or watch attentively; "The government keeps tabs on the dissidents"
Usage examples of "keep tabs on".
He visits the hospital once in a while to keep tabs on the patients and to advise me not to work so hard.
He looked around for the rest of the band, figuring that it was no bad thing for somebody to keep tabs on the others, and it might as well be him.
He'd confirm that little detail, haul one of his men out of bed to keep tabs on the man for the night.
Had he seduced her simply so he could stay close and keep tabs on what she was doing?
Or it could be used by Them to keep tabs on certain preselected subjects.
She'd have to see about getting a reliable spy of her own, so she could keep tabs on Dayne and Agonostis.