The only real indication I know of is the numbers listed in Sprawl Site from First Edition. In this all but military armor, ammunition and cyberware have multiple categories (possession, transport, threat, use, intent) which come with rising penalties and eventually start using jailtime.
Now some of these have clearly changed, but for example Military Armor was 1.2k, Ammo 3k, body-mod cyberware 20k and cyberweapons 10 years in prison. Meanwhile, a pistol in a box was 0.5k, on you 1.5k* and visible is 5k. An automatic was 5k/10k/6months. So it carries a steep fine to have one with you, but if you walk around town with one visible, you're screwed. Just like owning Cyberware without a license only the slums and barrens do not immediately result in police action if you walk around with an AK hanging from your shoulder.
If something's not punishable by jailtime, I'd expect cops to allow a bribe, which depends on the neighborhood, the amount of shocked witnesses and other ruckus, and the official fine. So e.g. being caught with Cyberware without a permit in a low neighborhood would be, what, 20% if they don't think you intend to beat the hell out of someone with it? Add to that that the fines probably lowered as nuyen levels changed, as well as cyberware becoming more and more common, and I'd expect a 2k fine or so.
Minor note: Using any kind of weapon can already result in jailtime. Using it ON somebody will end you up with jailtime unless it's a blade/club/bow, then you MIGHT end up with just a fine.
If you want I can quote the tables, so you can use them as inspiration. Just tone down the nuyen levels a bit, keep in mind jailtime can be parole after ~30% with another 20% as your on-parole time, and tune down the levels quite a bit for some cyberware categories as they have become more common. Also, anyone dumb enough NOT to get a fake license for that cyberweapon deserves those 10 years, 3 years and 2 years parole if on good behavior.
*: I demand Concealed Carry licenses from players on top of their licenses for the individual Restricted weapons. On top of that there's Smartlink Arms Licenses for usage of additional smartguns and smartlinks, Stun Arms for melee weapons that cause stun damage, a license for using any type of gas grenades with restricted toxins, a Bounty Hunter and Private Security license exist, etc. It's up to the GM to determine what kind of additional licenses there are, though. Do you want 1 license per stun baton, or just 1 license for all stunbatons/shockgloves? Do you want a license for concealed carrying or is that part of the weapon license? Etc.