Placing 'Stinger' Transition

I've created a 'stinger' transition that lasts 1 second, and exported it so I can bring it in to other projects.
In the original project, I can place the transition clip anywhere. However, when I'm using it in other projects, I can only place it 1 second from the end of the first clip, or right at the start at the adjoining clip. Even after I create a compound clip of the two, it restricts where I can place the transition clip over it.

The transition fills the screen at the 0.5 second point and this is where the clip should change. Placing it before or after still results in a clunking switch between the two clips. How can I place the transition so the middle of the transition clip lines up with the point when one video clip ends and the other starts?

Cut 0.5 seconds from either clip. And get some basic training for Resolve, it's different.

I've created a 'stinger' transition that lasts 1 second, and exported it so I can bring it in to other projects.
In the original project, I can place the transition clip anywhere. However, when I'm using it in other projects, I can only place it 1 second from the end of the first clip, or right at the start at the adjoining clip. Even after I create a compound clip of the two, it restricts where I can place the transition clip over it.

If your 'stinger' transition works similarly to something like a cross dissolve, it requires footage from both the outgoing clip and from the incoming clip over the entire duration of the transition. In a cross dissolve, frames from one clip are gradually more and more opaque and the frames from the other clip gradually become more and more obscured. In transitions like page flips, part of both clips is animated across the frames throughout the transition.

For these kinds of transitions, you can't start the transition at the very end of a clip, because there are no more frames in the clip to use during the transition. The same applies to the start of a clip. So if you're trying to use a 1-second transition, the out point of the preceding clip needs to be at least one second before the physical end of the clip, and the in point of the following clip needs to be at least one second after the physical start of the clip. This provides the needed extra frames to use during the transition between the two clips.

This is a basic "Editing 101" concept that applies to any NLE suite, and it's one of the reasons why you ALWAYS shoot takes with extra footage at the start and end.

As your transition is just a normal media clip, you should be able to place in anywhere in the track above your clips. You're saying that you can't move it into place? Or your talking about how the 'transition' behaves when you do put it into place?