Possible Clues:

• Knock the South American rodent and tie it in a knot
• Rabbit found in Central and South America
• Thanks to one taking in Peter Rabbit
• One might make a recording of this little beast, with it back in South America
• That South American rabbit has it in it to be domesticated (6)
• There's a domesticated little in it back from South America
• For this little Brazilian beast it might be in it to be domesticated