noun which may take the genitive case particle 'no'
just off the press; hot off the press
Describes printed material that has just been printed and is still fresh. Often used with nouns like 新聞 (newspaper) or チラシ (flyer).
刷りたての新聞はインクの匂いがする。
A newspaper just off the press smells of ink.
刷りたてのチラシを配る。
Distribute flyers hot off the press.
焼きたて means 'freshly baked' or 'just grilled', used for food. 刷りたて is specifically for printed items.
出来たて is a general term for 'just made' or 'freshly prepared', applicable to food, products, etc. 刷りたて is limited to printing.
Compound of 刷り (suri, 'printing', continuative form of 刷る suru) + たて (tate, suffix meaning 'just done'). The suffix たて attaches to the continuative form of verbs to indicate something has just been completed.