Old English stigel; related to stīgan to climb, Old High German stigilla; see stair
stile2
/staɪl/
noun
1.
a vertical framing member in a door, window frame, or piece of panelling Compare rail1 (sense 3)
Word Origin
C17: probably from Dutch stijl pillar, ultimately from Latin stilus writing instrument; see style
Word Origin and History for stile
n.
Old English stigel "device for climbing, ladder," related to stigen "to climb," from Proto-Germanic *stig- "to climb," (see stair). An arrangement to allow persons to pass but not sheep and cattle.