check on

verb2

1. •
   To personally verify that (someone or something) is safe, copacetic, appropriate or satisfactory.

   • I sent Tom to check on the northside's branch's progress.
2. •
   To verify a specific fact; to quickly examine a situation, especially to look for updates or new information on a topic that has previously been discussed.

   • Have the price-tags been updated? I'll check on that right away, sir.