You can use the trimming function in Final Cut Pro to delete the front and back parts of a clip. Here are the steps:

Open the Timeline and select the clip you want to trim.

In the left toolbar, select the pruning tool, or press the "t" key.

Move the cursor to the beginning or end of the clip you want to delete in the Timeline.

You will see a yellow pruning frame. Drag the trim box to the position you want to delete until it turns red.

Now you can delete this section. You can use keyboard shortcuts, press the Delete key, or choose the Delete option in the Edit menu.

Repeat the above steps until all the required parts are deleted.

Finally, export your video or save your project.

I hope this can help you!