My first came before,
A tool for wood, not ore.

My second prints ink,
I heard recent things.

Together they sound quite fast,
I'll charge for the last.

One is a simple example,

What am I?

Expression

My first came before,

A tool for wood, not ore.

Axe

My second prints ink,

I heard recent things.

Press, as in a newspaper printing press

Together they sound quite fast,

I'll charge for the last.

Axe + Press sounds like Express, which is a word for something fast.

One is a simple example,

Hen, a chicken.
Express + Hen = Expression
The expressions on your face relates to the title

• Yes, but some of them aren't quite as how I intended. – Element118 May 6 '16 at 12:08
• I'll give it some more thought, and will accept suggestions from anyone who can figure out which piece(s) I misinterpreted. Thanks! – Bulldogg6404 May 6 '16 at 12:12
• I'll charge for the last. - Ion – user96551 May 6 '16 at 15:29
• @Bulldogg6404 I don't get how you got "hen" from "One is a simple example, Protein is made ample." I understand chicken is a source of protein, but so are a lot of other things! Thanks if you can clarify. – user1477388 May 6 '16 at 17:18
• I guess because "protein is made ample" meaning that hens lay eggs. – user1477388 May 6 '16 at 17:40

It may be

Screen

My first came before,

A tool for wood, not ore.

They write before on a part made of wood

My second prints ink,

the second is may be the "Dactilo" that prints ink

I don't know, I'm just trying to guess

EDIT: nvm, the correct answer got accepted while I was writting this xD

Maybe it is...

a tooth

My first came before,

the first tooth when you are young

A tool for wood, not ore.

beavers use them to bite the wood

My second prints ink,

I heard recent things.

lost here

Together they sound quite fast,

when you put ur tooth together and move them towards each other, they do an awfull sound (dunno how to say that in english :( )

I'll charge for the last.

dentists charge you for your last dentures

One is a simple example,

don't know

the most abundant protein in the tooth is collagen, wich is used a lot for other things

@Bulldogg6404 has solved the riddle. Here are some of the clues which I intended:

My first came before,

ex means before.

I heard recent things.

The press is news.

I'll charge for the last.

The rest of the word is -ion, which is a charged atom.

One is a simple example,

$1$ is a mathematical expression.