Abiword is the default word processor in many versions on Puppy. It is part of the GNOME Office suite of programs. Not to be be confused with simpler text editors like Geany.
LibreOffice may be more suitable if you require an advanced office suite.

AbiWord is capable of many wordprocessing tasks. It can open most industry standard document types, such as OpenOffice, MS Word, WordPerfect, Rich Text Format and HTML. It can save most formats, but can not save in MS Word binary .doc format.

AbiWord is included in most Puppies, however. it has a missing library. Correct this by downloading and installing the libaspell15-0.60.6-10.pet package, more info in the forum thread.

Puppy Menu > Document > Document/Publishing > AbiWord
or
Clicking on Write on the Desktop (when set as default word processor)

Screenshot (fullsize)

Abiword is okay for small documents but becomes unreliable after documents get bigger than about fifteen pages.
It may also problems exporting PDFs

Using Abiword - more information about the program.
Using Abiword with Puppy 1

Official page
Offical plug-in page.
AbiWord Help

Abiword and missing libaspell.so.15
AbiWord 2.8.2
AbiWord 2.8.6 from Debian for Puppy 5
French help for AbiWord 2.8.6