囲み is read as かこみ (kakomi) and means siege.
かこみ
kakomi
かこむ
to play (go, shogi, etc.)
かこい
mistress
かこう
to keep (e.g. a mistress)
かこみきじ
(newspaper) column
かこいおんな
かこみしゅざい
on-the-spot interview by surrounding reporters
いご
go (board game)
しゅうい
circumference
ほうい
siege
とりかこむ
to surround
しい
surroundings
がいい
periphery