Here in Africa ,where the cockpit temperature can soar
to upper 30's ,it's total lunacy to even think of a tie.
In coastal areas the humidity levels are very high too.
You bunch in the colder northern climates can keep your flapping ,gravy-stained dangling tie.
You surely must agree that in & around aircraft they present more danger than "good look" potential.
However a neat white "pilot"shirt with navy or black or even khaki trousers with socks & proper shoes still looks good;
provided all staff at a school/club wear identical kit to bond the staff-group together
A brass name plate is the only other embellishment required in my humble opinion.