Chrom drops Chrom's Training Sword while Tiki drops Tiki's Tear- both weapons are E-Rank weapons that require no upgrades to equip, and are significantly more powerful than the majority of dropped weapons of similar ranks. The first time you scan one of the two amiibo released alongside the game, Chrom and Tiki, instead of a random Sword or Dragonstone, you receive an exclusive named weapon of significant power. Interestingly, Alm is counted as a second Celica figure.
Once you have unlocked the character the amiibo is based on, the figure will only add weapons of the class used by that character- so Marth only add new Swords, while Robin adds Tomes. When using the amiibo gift option in the Extras menu, scanning a figure will add a random item of varying quality levels to your inventory. All Fire Emblem franchise amiibo can be scanned into Fire Emblem Warriors, with up to five possible amiibo scans available each day.