What do you call a quote collector?

I believe the word is

Quodophile

but I can't find it in any dictionary. It seems to be used quite a lot though. For example, there is: @Quodophile on Twitter or http://quodophile.tumblr.com/ who collect quotes.

This is based on if you mean quotes to be phrases by someone. If you mean quotes as in "insurance quotes", then the word might be 'client/customer' or 'potential client/customer'.

The single word you are looking for is the term COMMONPLACE. The Commonplace Book was a compilation of quotes, observations, proverbs and other miscellany gathered by an individual as an aid to memory and learning. The famous philosopher, John Locke, considered them so important to wisdom that he wrote a guidebook entitled, "A New Method of Making Common-Place-Books" to help others with this task. The Commonplace Book emerged during the Renaissance and became a popular past time during the Victorian era. ~. rd armstrong

What about "quote-addict"? (not a single word... OK... but almost)

I can offer the last half of an answer. A 'quotationist' is a "person who habitually uses quotations; (Literary Criticism) a writer whose work makes reference or allusion to the past" (OED). OED provides attestation of the senses ranging from 1644 (Milton) to 1985 (Hartman). A quick search at HathiTrust and elsewhere online turns up uses of 'quotationist' in the sense of a "person who habitually uses quotations" well into the 21st century.

The problem with 'quotationist' as an answer to this question ("What do you call a quote collector?"), and the reason I call it the last half of an answer, is that while anybody who habitually uses quotations must certainly have collected the quotes, a person who collects quotes does not necessarily use them, and so is not necessarily a quotationist in the historical sense.

For my part, I would not hesitate, if I thought I would be adequately understood, to call a mere collector of quotes a quotationist.