You can play a card like Black Mage's Rod on turn two, but you're often reluctant to trade because you'll lose your triggers, and it's too expensive to equip later to continue to accrue triggers
(9/1/2023) You pay all costs and follow all normal timing rules for cards played from exile with Seek the Beast

Alela, Artful Provocateur Aminatou, Veil Piercer Arna Kennerd, Skycaptain Bane, Lord of Darkness Chromium Chromium, the Mutable Dakkon Blackblade Dromar, the Banisher Elenda and Azor Eriette, the Beguiler Ertai, the Corrupted G'raha Tia, Scion Reborn Halfdane Inquisitor Greyfax Kamiz, Obscura Oculus Lady Evangela Marneus Calgar Merieke Ri Berit Nevinyrral, Urborg Tyrant Nihiloor Noctis, Heir Apparent Noctis, Prince of Lucis Oloro, Ageless Ascetic Queza, Augur of Agonies Raffine, Scheming Seer Ratonhnhak:ton Saruman of Many Colors Sefris of the Hidden Ways Sen Triplets Sharuum the Hegemon Sidar Jabari of Zhalfir Soundwave, Sonic Spy Sydri, Galvanic Genius Temmet, Naktamun's Will The Destined Warrior The Ever-Changing 'Dane The Master of Keys Tivit, Seller of Secrets Toluz, Clever Conductor Urza, Chief Artificer Varina, Lich Queen Y'shtola, Night's Blessed Yennett, Cryptic Sovereign Zur the Enchanter Zur, Eternal Schemer
And that line of work is 98% boring and 2% terrifying