Octave clefs are used to write music notes that will sound an octave lower or an octave higher.
- If the symbol 8 is below the clef, then all the music notes will sound one octave lower.
- If the symbol 8 is above the clef, then all the music notes will sound one octave higher.
Here are some example:
Octave treble clefs

In this example, all C notes have the same pitch, they are the same sound with the use of octave clefs.
Below are more examples of octave treble clefs:

The example above sound exactly like:

But you can use the symbol 8va to do the same:

Examples in famous works
Chopin, Nocturne opus 9 n°1
Example in Nocturne n°1 Opus 9 for piano by Frédéric Chopin on measure 12

Octave bass clefs
Octave clef can be used for all clefs, even for the bass clef. Like for the treble clef, here is an example of octave bass clefs:

In this example, all C notes have the same pitch, they are the same sound with the use of octave clefs.
Other Notations
Here are other symbols to perform music notes one octave lower or one octave higher:
Symbols | Italian | meaning |
8va | Ottava Alta | One octave higher |
8vb | Ottava Bassa | One octave lower |
15ma | Quindicesimo Alta | Two octaves higher |
15mb | Quindicesimo Bassa | Two octave lower |
External links :
1 - https://www.dolmetsch.com/musictheory1.htm
2 - https://www.dolmetsch.com/musictheory14.htm
3 - https://en.wikipedia.org/wiki/Clef