Is there official Army sanctioned Chainsaw Operator Training and Licensing?

Does the Army have a certification program on chainsaw operations? Surprisingly, no (or if they do, it's some super-secret squirrel type of training that only those inducted into the Cabal of Illuminati Engineers are allowed to know about).

Way back when, I led up a team developing a DSCA handbook and one of the things we came across was that, while there were safety regulations* and guidelines about using a chainsaw, we could find no indication that there was any such certification or licensing program (we even reached out to TRADOC, the Engineer School, and the HQA G-3/5/7 and they weren't able to find anything).

Since you used one professionally, I assume you know that there are certification programs available, but the only that I've encountered for the Army were local policies at the installation or unit to get certified though OSHA training* or through the Forestry Department* (again, that's assuming they had such a policy - otherwise it was safety training).
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* https://www.publications.usace.army.mil/portals/76/publications/engineermanuals/em_385-1-1.pdf
* https://www.fs.usda.gov/t-d/pubs/htmlpubs/htm06672804/page01.htm
* https://www.osha.gov/sites/default/files/2018-11/fy10_sh-20823-10_chainsawsafety-eng.pdf

Not that I have ever seen. We did run a unit "certification" which was basically the safety, care and use from the equipments manual and recorded it on something like this form. ChainsawUseAHA.pd

1LT (Join to see) As a 12B reclass course instructor we do not do any certification on this during the course. We only introduce the chainsaw as part of our tools and power tolls identification go-no station...surprisingly most people don't confuse the chainsaw, LOL. As far as operating it, it's unit specific in the uses so defer to your units SOP and conduct the training according to Army training/safety standards and you should be fine, sir.

I would imagine this to be a 10 level task for a combat engineer. What does the AIT school house have on it?

Back in my day, there was the SF46 which could include vehicles, projectors, lawn mowers, et al. CO just fills in what they want the soldier to operate. When I was in BCT, I had one filled out for every vehicle on Ft Jackson. Some, like the Sheridan, I never even saw until in the 6th US Cavalry at Fort Meade 3 years later. Jeeps, TAC and civilian vehicles, 113s, buses, took up both sides of card.

1LT (Join to see), we ran into the same problem. We had standard chainsaws for obstacle and breaching tasks and the IHME comes with hydraulic chainsaws. We reached out to some NG units in the state who has OSHA chainsaw certs and had them do some M-Day training for a couple units.

I think you can be as creative as you want to be, within the guidelines of the CDR's risk assumption authority), but I would ensure your DRAW is up to speed and include certified chainsaw operators (in some fashion) as your instructors.