to move gradually with several small movements, or to make something do this:
move[intransitive,transitive always + adverb/preposition]
Tim was edging away from the crowd.
She edged closer to get a better look.
He edged her towards the door.
edge your way into/round/through etc something
Christine edged her way round the back of the house.
to put something on the edge or border of something:
put at edge[transitive usually passive]
The city square was edged by trees.
be edged with something
The tablecloth is edged with lace.
to change gradually, especially so as to get better or worse
change[intransitive,transitive always + adverb/preposition]
Profits have edged up.
The paper has edged ahead of (=been more successful than) its rivals.
to cut the edges of an area of grass so that they are tidy and straight