I'd say 3-6 months, probably somewhere around 2-4 months really is what i teach people, thought it often ends up being longer because people go to an archery shop and they tell them not to use a clicker yet and don't sell them one
Personally, i didn't have a good coach when i started archery. It was only when i started shooting seriously in my 3rd year that i bought equipment and had a decent coach help me get started with one. If I'd had more support i could have been shooting as well 2 years earlier