Is there any sci-fi story where time travel is possible, but the government has mandated that the only legal purpose for it is to offset the effects of time dil

Is there any sci-fi story where time travel is possible, but the government has mandated that the only legal purpose for it is to offset the effects of time dilation from near-lightspeed voyages? Basically as you travel to your destination, you are also traveling backward in time so you can arrive at the same time you started relative to when you left, essentially making a sort of “warp drive”. To an observer on Earth, a ship leaving to Alpha Centauri would seem to jump and arrive instantly. To the crew on board the ship, the universe would seem to “pause” while they move through a timeless space. And when they arrive at the destination and turn off the engine, everything outside starts moving again. To me this seems like it’d be the only safe use for time travel, but I wonder if it could still be exploited somehow through some edge cases.