There used to be a glitch which happened while only using the fishing waders in which the upper half of the player's body was separated from the lower half. This has seemingly been patched by Jagex.
Though the Fishing Outfit can be stored in any tacklebox, you do not gain any experience bonus for storing it in a tacklebox. Thus, it is better for those with 99 Fishing who are doing Fish Flingers to save their tokens for Tackleboxes (although those saving for the Champion's Tacklebox will likely far surpass the token requirements for the Fishing Outfit and Champion's Tacklebox due to the immense Medal requirement that the Champion's Tacklebox has).
With the release of the Botany Bay on 26 September 2012, the Fishing outfit received a bonus boost, doubling the experience of the set from 2.5% to 5%.