From Longman Dictionary of Contemporary Englishsidlesi‧dle /ˈsaɪdl/ verb [intransitive always + adverb/preposition] TOWARDSto walk towards something or someone slowly and quietly, as if you do not want to be noticedsidle up/towards/along A woman sidled up to us and asked if we wanted to buy a watch.→ See Verb table
Examples from the Corpus
sidle• Washington hurried dutifully to her side as befitted his lover's status, then remembered his invidious position and sidled away again.• At dawn, they sidle back under the sea's edge.• The road led nearly to the cliff, and then sidled right.• It was sidling towards the edge of the table.• Finally I sidle up to her and ask straight out.• While I did so, the Newspaper Boy sidled up to our table.• She suspects me of a form of vanity in sidling up to the existential questions.sidle up/towards/along• So I sidled up, slipped my arm around him and gave him a kiss.• There was a figure there, sidling along stealthily with its back against one wall.• She sidled along the drive after her husband and up to the front door.• It was sidling towards the edge of the table.• I managed to sidle along the gardener to try to get past him.• A., 4-H, even Boy Scouts sidle up to a few doors and whisper a carol or two.• Finally I sidle up to her and ask straight out.• While I did so, the Newspaper Boy sidled up to our table.Origin sidle (1600-1700) Probably from sideling “sideways” ((14-19 centuries))