Li-Ion batteries don't have a memory. It's the charging that wears them out though. However partial charges only count as partial wear, as I understand it.
So, is it "OK"? Sure, as far as I know. Now, the real question... Is it the best time?
That depends on your APV/Mod. Are you using an all mechanical mod that vapes off battery voltage? Or something regulated? What Atty/carto and what ohms is it? (asked due to "feel" of HV vaping and if you could tell by the vape if it's time.)
The 3.7/3.6 range is the normal battery operating rage. It starts at 4.2 but drops quickly to 3.7/3.6 and stays around there the longest. Then it drops off faster from 3.5 volts to min volts. So 3.5 (or even less than 3.6... 3.59) is good, since it will drop off fast at that point anyway.
I edited my post above to reflect this.
Here's a chart. BUT... you have to check the data FOR YOUR PARTICULAR BATTERY... this chart is not IMR, for example. And not all IMRs are the same.
Bottom line here is to see that steep cliff at the right. At 3.60v it drops down to whatever your cutoff is very fast. I just let the protected battery PCB catch that since it's only a few vapes at that point. And I've made good use of the battery. However, without a monitoring circuit of some sort, 3.60 is probably a great target.
You may be able to catch that point "by feel". Or maybe you enjoy hooking a multi-meter up to your mod every puff. Or maybe your mod has internal monitoring and so you just let it cut out at whatever it cuts out at. Maybe your mod has a battery voltage display as well as an atomizer voltage display (they may not the same thing, BTW... depends on the mod. All mechanical mods are close to the same, minus switch/wire resistance. Mods with regulators tho.... different things.)
Personally, IDK how you "battery monitoring dudes/dudettes" even do it. I use protected batteries or devices with built-in monitoring (like an eGo, LT or such).
The other important point is to check the voltages BEFORE you put stacked batteries into the MOD. This is to check starting voltages, not cut off voltages. You don't want them to be mis-matched. This was mentioned by others above too. This is imported for two-battery mods. Those that take a single IMR battery, not as important, although not a bad idea to verify that the battery is charging properly and holding a charge.