Can "get" be used as a linking verb in a context of a gradual change?

It is certainly in usage in southern England where I live, and without performing extensive investigations, I'll point you towards the lyrics for the Rogers and Hammerstein musical "The King and I" and the song "Getting to Know You"

https://www.youtube.com/watch?v=4MNANgFCYpk

Contextually the King and Anna have spent a good deal of time together and during that time:

It's a very ancient saying But a true and honest thought That if you become a teacher By your pupils you'll be taught As a teacher I've been learning You'll forgive me if I boast And I've now become an expert On the subject I like most

Getting to know you. Getting to know you. Getting to know all about you. Getting to like you. Getting to hope you like me.

If you'll pardon me, I'm just getting used to formatting my posts. (As in "growing accustomed to doing it over some period of time").

I'd just gotten used to my new keyboard after months of practice, then my sister ruined it by spilling coffee on it.

I just got used to my new keyboard after months of practice, then my sister ruined it by spilling coffee on it.

"They just changed the road sign on seventh did you see?"

"Sure you'll get used to it in a couple of weeks."