Text (LE+errata): 3/4. ; Whenever a player cycles a card, ~this~ gains flying and shroud until end of turn. [Oracle 2007/05/01]
On your turn, an opponent can cycle a card that has a cycling triggered ability (such as Gempalm Incinerator) and target this card with that ability. This works on your turn because your triggered abilities go on the stack first, so your opponent's ability will resolve before yours. This situation is reversed on your opponent's turn. [Legions FAQ 2003/01/23]