If you're playing vanilla, no. After the first 3-4 hours, flint is nearly useless. Keep 4-5 pieces in case you miscalculated something's durability and end up needing an emergency tool on the fly, toss the rest away as useless trash.
Some mods can make it more useful (looking at you, flint pickaxe, flint hammer & crude flint saw). But even then, that just extends the usefulness a scant few hours longer and makes the range of options for your emergency tool backup plan bigger; the main point still stands - flint is literally the Stone Age material of choice, and just like we stopped using it IRL once we learned how to use metal (except for hobbies and as a component in cigarette lighters), the same applies in this game.