To my prefix, don't go back and forth,
My suffix means to possess
My infix can mean line or propel,
Together I make a weird face
What am I?
I think the answer should be
line or propel: row frown is a weird face
also fits with the title, frown is a kind of gloomy face
Not sure about the prefix part
Is it something about fro? Like don't go back and forth, but go to and fro?