good, high
low
equal
current
public
international, national
academic, economic, financial, legal, moral, political, professional, social

have
Professor Greenan has a high standing in the academic world.

enhance, improve
damage, diminish

decline, fall
rise

of … standing
She married into a family of higher social standing.

standing among
her low standing among her fellow scientists

standing as
His standing as a movie director has risen in recent years.

standing in, standing within
his international standing in cancer research

standing with
She was appointed for her high standing with the general public.

in good standing with sb
a student in good standing with the college

a member in good standing (AmE)
a member in good standing of the movement

long
25 years', many years', etc.
Their relationship is of many years' standing.

of … standing