Toadyism
the practice of meanly fawning on another; servile adulation
Fawn
1. to exhibit affection or attempt to please,
as a dog does by wagging its tail, whining, or cringing
2. to seek favor or attention by flattery and obsequious behavior
Obsequious
full of or exhibiting servile compliance; fawning
Source: http://www.thefreedictionary.com