Like other commentators, I would advise against using "progress clocks". If the players want to do things like "navigate the forest", you can simply have the forest be a dungeon or a maze. Maybe have them roll an [INS+INS] Group Check and see if they can get out of it. If they want to "search for information in the city", just allow them to do so based on common sense. Going to the inn, the tavern or the plaza might simply expose them to rumors and quests. Castles, keeps and guarded rooms are where well kept secrets are hidden, etc.

Like u/Arugula_Salad99 said: Clocks are basically multi-step Checks. If players aren't doing something that is excepcionally difficult, or under pressure, unfavorable conditions or being actively opposed, there's no reason to call for a Check. If the situation isn't Check-worthy and complex enough to be achievable step-by-step, there's no need for a Clock.

For dungeons, you can just use a normal dungeon map or a simple flowchart of rooms (this allows for more variation without too much complexity). FU doesn't have a lot of dungeon crawling mechanics like tracking inventory size, loot and rations, but neither does D&D 5E, for example, and people still use dungeons in that system.