What version of Premiere Elements are you using and on what computer operating system is it running?
Could be that I am not understanding your question, but let me give you some scenarios so that we can decide....
a. Wherever you place the Timeline Indicate (CTI), that is the frame of the Timeline content that will display in the Edit area monitor.
b. Using the horizontal scroll of the Timeline, you can move the Timeline content from left to right and right to left and the Timeline Indicator
will stay at the position where you left it. But, what is seen in the Edit area monitor is the frame where the Timeline Indicator is positioned.
- clip to clip, left to right, Page Down
- clip to clip, right to left, Page Up
- to get to beginning of Timeline, Home Key
- to get to end of Timeline content, End Key
- zooming in or out Timeline \ key
- clicking on the Work Area Bar of the Timeline at the spot where you want the Timeline Indicator to go to (even if you cannot see it) summons the Timeline Indicator to that spot.
Please review, consider, and then let me know where I have misinterpreted your question or let me know if any of the suggestions work for you.
I revisited my Premiere Elements 12 on Windows 7 64 bit and did some exploration and experimentation, and I have figured out (think I have) what you sought.
In Premiere Elements Edit Menu/Preferences/General, there are options for "Timeline Playback Auto-Scrolling". They are No Scroll, Page Scroll, and Smooth Scroll.
Please note the description of the Smooth Scroll option:
Setting the preferences Timeline Playback Auto-Scrolling option to Smooth Scroll should work for what you described which was
set the CTI to travel from left to centre and then stay static whilst thes slide pass under it
Please let us know if that worked for you.
I rarely use anything other than Page Scroll. Interesting exploration and experimentation.