You can get a chiller and fill it with isopropanol/water which gets down under the freezing point of water to put on the rotovap and this should protect most pumps during controlled rotary evaporation.
If a pump is running all the time it will also stay pretty hot, so the chloroform will just boil out the top. The thing is, a "good" pump like an Edwards rotary vein pump is probably too strong and will just blast your liquid into the trap at room temp as soon as the vacuum is opened.
You want a small pump that is kind of moderate vacuum like this
https://www.grainger.com/product/3KYY6?gclid=Cj0KCQjw5J so you can maintain control. Also if you break it you won't feel so bad.
I have virtually same pump I linked to, and while I don't leave it on all the time, I'm sure I've sucked plenty of solvent into it and it seems OK.