Possible Clues:

• Write or engrave as a lasting record
• Score from fashionable old pen-pusher
• Perhaps sign one’s name on fashionable cradle in southeast
• Write or engrave, often as a lasting record
• Chase cool writer
• Engrave; dedicate (to)
• Trendy old writer makes mark
• Engrave or etch
• Chase popular copy in Home Counties
• Write a dedication in (a book)