There are magazines for every conceivable hobby but does there exist one for people learning Latin in particular and studying the ancient Roman culture in general?
I’m not sure if this is what you were looking for, but I think this site puts out a magazine 6 times a year. I can’t read well enough in latin to confirm it though!
There is an online magazine of Latin poetry knowns as Vates that is published on a quarterly basis.
http://pineapplepubs.snazzystuff.co.uk/vates.htm
Ryan