Great topic, and its interesting how many here are in the education profession!
I am very lucky -- I have carte blanche to wear pretty much literally anything I care to wear. I'm self-employed and an artist and sometimes radio announcer. (Trust me when I say that if you show up to a radio job in anything more than jeans and a tee, you are going above and beyond!)
I do see clients and visitors regularly at my studio and in their homes, so most days I make sure to wear something that would be appropriate for an impromptu meeting, but that can be as simple as jeans, top, jacket and booties. Other days I'm just in the mood to wear some of my dressier stuff (a dress or a blazer or heels, etc.) and I just go for it. I worked from home for many years and slipped into a rut of jeans and tees (as well as a lot of loneliness from being so isolated), so I'm having much more fun expressing myself with fashion now.
On days when I'm going out shooting pictures, I dress way down, but still try to keep it presentable. Older jeans, rugged shoes, neutral colored casual tops (I photograph a lot of reflective surfaces and I've discovered colored tops affect my results!), and washable layers because I often end up sitting or laying on the ground to work, or leaning up against dirty or dusty surfaces.
I feel very fortunate that my profession is not just a job, but an integral part of me and my creative life. I have been a designer/artist of some sort for most of my life, and I even feel like fashion might have a role to play in my eventual career path, so I'd have to say that my profession influences my style, and vice versa.