stretched thin(ресурсов, сил: I realize police are always stretched thin, especially when it comes to enforcing traffic issues in a city as big as Bay City, but it would be nice to see some interest in policing our neighbourhood.ART Vancouver)
not have the stomach for(To lack the courage, determination, or resolve to do, face, or experience something unpleasant. Can also be phrased as "have no stomach for something." capricolya)
not have the stomach for(What happened is that these journalistic heavyweights – and their employers – just didn't have the stomach for a fight. capricolya)
not set the Thames on fire(His second novel was successful, but not so sucessful as to arouse the umbrageous susceptibilities of his competitors. In fact, it confirmed them in their suspicions that he would never set the Thames on fire. VLZ_58)