Possible Clues:

• Catch when touring river a few drops
• A small thin stream of liquid
• Small flow in river stopping attempt to get trout
• Delight crossing minimal river, it being this?
• Very small flow
• Flow slowly in drops
• Fall in drops
• It's on the cards it may be taken with the French, little by little
• Run gently with pet, crossing river
• Drop gets player finally into touch