The source of truth for this skill is https://highdex.net/sw/ForceSkill.php?ID=30, but the important factors are described below too.
If you fail your skill roll, you have spent your time and fatigue, with no successful effect. You can try again, but you have to spend the time and fatigue again. If you succeed on your roll, and the object is within your ability to move it at a speed of at least 0.01 inches per second (see the table above of highest weights for a given speed), you can move it as long as you spend your turn concentrating on that object, up to 1 second per level of your Force Bond. After that time, you can maintain the effect by spending the same amount of fatigue and then making a new skill check. This way, extended efforts can tire you out, and can fail in the middle.
Each time you begin using Telekinesis, you can select options to apply to that use of the ability. If you maintain the effect, the same options apply which can affect your effective skill or the fatigue cost. If you are moving more than your ideal weight, the minimum fatigue cost to maintain the effect is 1. Even if you quickly just try again as a separate attempt, you must pay at least 1 fatigue for the new period of time. You will tire out eventually.
There are a number of ways Telekinesis is used in the movies and other media that don't fall exactly into the descriptions you see above. Things like Darth Vader choking someone to death or using it to move really fast (the basic skill of Telekinesis is limited to 5 yards per second which isn't that fast). For those situations, there are skills that use Telekinesis as a prerequisite. you can find them all with their specific rules in the Force document, but I'll list them here so you can look to see if what you're curious about is covered by one of those...