Our fighter, Fred, is a high level fighter with multiple uses of the Indomitable feature:
Beginning at 9th level, you can reroll a saving throw that you fail. If you do so, you must use the new roll, and you can’t use this feature again until you finish a long rest.
You can use this feature twice between long rests starting at 13th level and three times between long rests starting at 17th level.
Let's suppose Fred is targeted by the Hold Person spell. Fred rolls a 5 and fails the save. Fred uses one use of his Indomitable feature, to reroll the save, but still fails. Can Fred expend a second use of his Indomitable feature to reroll the save again?
Also, does this answer hold for the Champion and Warlord NPCs?
Indomitable (2/Day). The champion rerolls a failed saving throw.
Indomitable (3/Day). The warlord can reroll a saving throw it fails. It must use the new roll.