A bound form is a °form that cannot occur on its own as a complete utterance.
The term bound form has been defined in a rather consistent way since Bloomfield, as opposed to free form. However, this definition is not widely known among linguists, and in practice, "bound" is often equated with "(orthographically/phonologically) attached to a root/stem". But "attachment" is not well-defined (see https://dlc.hypotheses.org/2847), so it is better to use bound and free in the original Bloomfieldian sense. Clitics are not normally thought of as "attached", but they are bound forms in that they cannot occur on their own (Haspelmath 2023).