The antonyms for "most unhampered" would include words such as restricted, hindered, limited, impeded, obstructed, constrained, hampered, and curtailed. These terms suggest a lack of freedom, movement or action, and a sense of confinement. For example, if someone's movement is restricted, they are not as free to move around as they would be if they were unhampered. Similarly, a person's actions might be limited or constrained if they are impeded in some way, either by physical or mental barriers. Overall, the antonyms for "most unhampered" convey a sense of being constrained or held back, in contrast to the meaning of the original term.