This is a very obscure Tagalog word that appears in only one printed dictionary we know of — a 176-page publication issued in Manila in the year 1950 by the Philippines’ Institute of National Language having the title A National Language – English Vocabulary.
These are the English words given as definitions for the Tagalog word:
kayungkóng
nestle
kayungkong
snug
kayungkong
cuddle up
Ang ibig sabihin nito ay ang mahigpit na nakayakap sa dibdib, gaya ng pagkarga ng ina sa kanyang sanggol o maliit na anak. This means carried close to the chest, as a mother carries her child.