First, what characters?
- Ursula Downs with her ability to slam a location she just moved into with all 3 actions's worth of investigation can make full use of the shroud reduction.
- Roland Banks can use this to move clues with him to cheat up.
- "Ashcan" Pete can move a clue to ensure Duke picks up 2 at once.
- Rex Murphy can hoist around clues to round things out to even numbers, he can do it reactively to null out a failure to trigger his and try it again elsewhere or ensure that something like 2 different 3-clue locations turn into a 2 and 4 clue location respectively.
Regardless of character, you can skootch a clue off of a location that you don't want to return to or onto an easier spot, or elsewise you might use it to "finish" a location for XP or a scenario requirement. There is also one colossal moving force in the strength/weakness of Vantage Point, player count. Depending on your other card choices you may be so and so able to pick up clues in a count of 2's or 3's, this is where multi clue cards and cards like Intel Report and Connect the Dots come in.
In 2 player you can play Intel Report or Connect the Dots to clean up a location completely, in 3 player you might move the clue from a 3-clue location and get the other two as mentioned before (style points for using Vantage Point to enable playing Connect the Dots).
Make note of the precise text on Vantage Point, you can play the card when a location is revealed, but also when a location enters play, this little extra window of use might be helpful in certain scenarios.
All in all the card is not particularly strong, moving a clue is an ancillary benefit, barely worth a slot on most characters. A primary clue gatherer in a large party might consider it to enhance their ability to react to clues all over the map via Connect the Dots or an Ursula Downs or "Ashcan" Pete who can move the clue, use the shroud reduction and pick up the moved clue in a flurry of investigation.