Example of Running Record

The term 'running record' actually has several meanings:

An assessment of oral reading skills conducted by a teacher.
Common usage- A record in real time of events in a business or other environment.

The common usage version is used for keeping score in a game, keeping track of an operation's current output or progress, or as a general term describing a commentary.

Examples of Running Record:

John is still having trouble with his understanding of reading skills.
15-Love tennis score
We've done 418 calls today.
Your running record commentary seems to be upsetting Fred.

https://en.wikipedia.org/wiki/Running_record
https://www.eworkshop.on.ca/edu/core.cfm?p=main&modColour=1&modID=2&L=1
https://www.earlyyearsliteracy.sa.edu.au/pages/cg0001086/runningrecords/?reFlag=1