With the exception of niles that I used to have (and one peachthroat), I have always handled all of my monitors (to an extent).
This depends largely (but not soley) on the species. What type of monitor did you just acquire? I have always handled all of my previous black roughnecks, argus and kimberlies, etc… but each species is different and will react differently to you and therefore must be treated differently. For instance, I have had a good number of black roughnecks, all were obtained as babies and all were handled throughout their growth. None ever seemed to mind being held and all of them readily took food from me. None ever seemed afraid or concerned that I was there and pretty much ignored me when I cleaned out their cages or water bowls.
The Kimberly rocks monitors that I raised were a bit different. Most were a bit flighty and were left alone outside of cleaning out the cage, weighing them, etc… However, there was several that were unlike the others in which did not mind being handled and one even used to walk right out onto my arm freely.
Argus/flavi’s that I have kept would squirm when handled, in typical argus fashion. They did not seem afraid of being held, but just did not like it too much so they were respected in that way. I had one flavi-argus mix that would bite lightly when held so that was his way of telling me to leave him alone. I had another from the same clutch that was the opposite and would freely come out of the enclosure and walk on my arm, etc…
Additionally, I once had a full grown mangrove monitor (back in 1990) that did not mind at all being handled and also ate directly from forceps. The same year I had a peachthroat that would try to bite me when I changed his water bowl or clean his cage.
Niles, every nile I had hated being handled and I was bitten by each and every one of them at some point. I did have one that never bit until one day when he started getting bigger, wham! I was not surprised, as getting bit is a part of nile monitor keeping at one point or another. Great monitors but must be respected!
So, it depends on the species, and two, keep in mind that there are individuals within each species which can be different from the rest.
Monitors are really not pets, and really should not be sitting on peoples arm when walking around the house, watching tv, etc… -just my opinion. I have heard many stories of people losing their monitors when trying to engage in such activities with them. To me monitors and captive reptiles in general are more of a chance to study and learn from these interesting animals.
Should one hold their monitor? Sure, depending on the individual monitor and as long as the animal does not seem stressed or upset by it. And yes, when you first obtain a new monitor, it is always a good idea to give it time to get used to it’s new surroundings. For instance, I just got a new baby melinus about a week and a half ago, and for the first day it was a bit nervous and stayed out of the open, but after a couple of days and after getting accustom to it’s new home it is very calm and does not hide. Even though I do not handle it often (since it is very young), it does not mind at all being handled and does not run or move away when a human hand enters it’s cage. It has established it’s daily routines, is very active, dug tunnels, etc… and will even take a cricket right from my hand.
Best of luck,
Lou