What does your magic take the form of? In other words does it take the form of either snakes,arrows or letters from a book, these are examples for magic miscles .
I had a few PCs in the past that had flavor like this, but now we mostly just say something like, " Magic Missiles shoot from the enemy caster to hit you." I think it can work for player characters, but the DM may need to be specific and just tell the players what is happening.
I had a gnome wizard who was a "particle metaphysicist" and all his spells were scientific-sounding. Like instead of magic missile it was deterministic energy exchange and instead of fireball it was spontaneous exothermic state collapse. Many of them had a lasers-and-sparks visualization.
I have another character I haven't played yet, a sorcadin, who has the cantrip blue-flame blade and has a blue firebolt. The idea is to create fire that is hotter than most other casters' (ala Azula).
Say the once druid who is now a warped evil warlock. Her misty step takes the form of dried dead leaves that slip threw craps or ride a quick breeze to her new location.
Stuff like that. I think that can really help to stick a character out for your players, and even get their minds cranking on cool personalized magic. I mean, why should Tenser, Bigsby, and Melf have all the fun?