noun, noun, used as a suffix
contracted regular payment; by the (month, week, etc.)
Used as a suffix attached to time periods (月, 週, 日, etc.) to indicate a fixed-rate contract or subscription, often for parking, rent, or services. The resulting compound functions as a noun.
この駐車場は月ぎめで借りられます。
You can rent this parking lot on a monthly contract.
週ぎめのマンションを探しています。
I'm looking for a weekly-rate apartment.
月極 is the full kanji compound for 'monthly contract', while ぎめ is the suffix used in such compounds.
日決め is a compound meaning 'daily rate', illustrating the suffix use of ぎめ.
Derived from the 連用形 (continuative form) of the verb 決める (きめる, 'to decide, fix'), used as a suffix to indicate a fixed-term arrangement. The kanji 極め is an alternative spelling with the same origin.