Banana Republic, owned by Gap, is trying to adapt to sweeping changes in retail and grow sales. CEO Mark Breitbard believes a rental service will attract new customers, expand existing customers' spending and help Banana Republic remain relevant. The rise of clothing rental subscriptionsBanana Republic's move into a rental subscription is part of a broader shift among traditional companies trying to capitalize on rapid growth in the niche market. The clothing rental market is estimated at around $1 billion today and will hit $2.5 billion by 2023, according to GlobalData Retail. --Correction: A previous version of this story misattributed quote on how Banana Republic should enter the market.