While wearing and attuned to this monocle, the character gains the Magic Initiate feat. If the character is a spellcaster, the class chosen for MI must use a different spellcasting ability. 

 The attuned becomes aware of the existence of the matching cane and top hat and wants to unite the set. If another part of the trio comes within 5 miles, both owners can sense the general direction of the items and wants to pursue gaining the item. They can be persuaded to attend other activities for awhile. If 2 items are attuned and the last comes into range, the character will put seeking out the third as a top priority.

If the character is also attuned and using  Abram’s Top Hat, he gains advantage on Charisma based ability checks. (Item will need editing to show ability on DnD beyond.)

If all 3 items are attuned, an extra attunement slot is gained. 

Notes: Feat: Magic Initiate, Anyone