I salvage op-amps from old electronics equipment and have built up quite a stash. My only worthwhile means of testing them is to put them in a verified circuit and see if it works...but when you've a few hundred reclaimed IC's that take a long time.
Also, quite a few beginners don't have/use IC sockets and can run the risk of burning a chip. The only real way for them to test it is to remove it, replace with another and hope for the best. Many times they only have the one so using this could help identify other issues on a build.
The IC's shown are representative of the ones you'll be testing. The pads on the pins represent IC sockets. It's the sockets you will be soldering in place as shown.
If your IC is well, the LEDs will light up. If one doesn't, bad channel.
I'd recommend putting the 9V wire on a SPST toggle switch or momentary. Hot swapping could cause failures
Single = TL061, TL071, LM741 etc
Dual = TL072, JRC 4558, NE5532 etc
Quad = TL074, TL084, LM348 etc
The 300Ω is the current limiting resistor for each LED. Experiment with different values to taste.
Hope this is of use to someone.