I tested on my Acer TravelMate 8104 WLMi with ATI RADEON X700.
Works pretty cool!!

Make sure your ATI accelerated graphics driver is enabled. It will install fglrx driver

Installing Compiz

Install all drivers you need.

$ sudo apt-get install xorg-driver-fglrx # if you couldn't enable graphics driver
$ sudo apt-get install fglrx-control # if you couldn't enable graphics driver
$ sudo apt-get install xserver-xgl

Remove all default configurations and re-install.

$ sudo apt-get remove compiz
$ sudo apt-get install compiz compizconfig-settings-manager

Also, remove Beryl if you have. then log out and log in again.
Now compiz should be working.
If not, check in your xorg.conf file (/etc/X11/xorg.conf) and put these texts in xorgs.conf

Section "Module"
  Load "bitmap"
  Load "ddc"
  Load "dri"
  Load "extmod"
  Load "freetype"
  Load "glx"
  Load "int10"
  Load "type1"
  Load "vbe"
  Load "dbe"
EndSection

Section "Device"
  Identifier "ATI Technologies Inc Radeon Mobility X700 (PCIE)" # depends on your graphic gard 
  Driver "fglrx"
  Busid "PCI:1:0:0"
  Option "MonitorLayout" "LVDS,AUTO"
  Option "XAANoOffscreenPixmaps"
  Option "AGPMode" "8"
  Option "AGPFastWrite" "true"
  Option "AddARGBGLXVisuals" "true"
  Option "DisableGLXRootClipping" "true"
  Option "EnablePageFlip" "true"
EndSection

Section "Extensions"
  Option "Composite" "0"
EndSection

Open CompizConfig Settings Manager in Preferences and enable:
Cube

• Desktop Cube (don't forget Skydome)
• Rotate Cube
• Viewport Switcher (optional) if you want to change desktops with the mousewheel
• Cube Caps (optional) lets you use an images on top and bottom of the cube

Expo

• Expo

Window switchers

• Shift switchers (Cover & Flip)
• Ring switchers (Ring)

Installing Screenlets (Widgets)

Widget Layer

Don't forget to enable Widget layer in compiz manager.
Add these texts below to your sources.list(/etc/apt/sources.list)

deb http://hendrik.kaju.pri.ee/ubuntu gusty screenlets

then go to terminal

$ wget http://hendrik.kaju.pri.ee/ubuntu/hendrikkaju.gpg
$ sudo apt-key add hendrikkaju.gpg
$ rm hendrikkaju.gpg
$ sudo apt-get update
$ sudo apt-get install screenlets
$ mkdir ~/.config/Screenlets
$ mkdir ~/.config/autostart

3d windows & Screensaver

3d windows, Atlantis, Freewins and Screensaver

$ sudo apt-get install build-essential libxcomposite-dev libpng12-dev libsm-dev libxrandr-dev libxdamage-dev libxinerama-dev libstartup-notification0-dev libgconf2-dev libgl1-mesa-dev libglu1-mesa-dev libmetacity-dev librsvg2-dev libdbus-1-dev libdbus-glib-1-dev libgnome-desktop-dev libgnome-window-settings-dev gitweb curl autoconf automake automake1.9 libtool intltool libxslt1-dev xsltproc
$ wget http://somelinuxguy94.googlepages.com/3d-0.6.0.tar.gz
$ tar xzf 3d-0.6.0.tar.gz
$ cd 3d-0.6.0
$ make && sudo make install
$ wget http://somelinuxguy94.googlepages.com/atlantis-0.6.0.tar.gz
$ tar xzf atlantis-0.6.0.tar.gz
$ cd atlantis-0.6.0
$ make && sudo make install
$ wget http://somelinuxguy94.googlepages.com/freewins-0.2-0.6.zip
$ unzip freewins-0.2-0.6.zip
$ cd freewins-0.2-0.6
$ make && sudo make install
$ wget http://somelinuxguy94.googlepages.com/screensaver-0.6.0.tar.gz
$ tar xzf screensaver-0.6.0.tar.gz
$ cd screensaver-0.6.0
$ sudo apt-get install x11proto-scrnsaver-dev libxss-dev
$ make && sudo make install

Installing Dock

Add these texts below to your sources.list(/etc/apt/sources.list)

deb http://download.tuxfamily.org/syzygy42 gutsy avant-window-navigator
deb-src http://download.tuxfamily.org/syzygy42 gutsy avant-window-navigator

then go to terminal

$ wget http://download.tuxfamily.org/syzygy42/reacocard.asc
$ sudo apt-key add reacocard.asc
$ rm reacocard.asc
$ sudo apt-get update
$ sudo apt-get install avant-window-navigator-bzr awn-core-applets-bzr

Make dock run when startup automatically

System >> Preference >> Session
Start up Programs >> Add

Fill "avant-window-navigator" in name and command
AWN Manager will be in Preferences

Green Theme

Download here and get wallpaper here

References: Forlong's Blog, Alejandrox, ubuntuforums - link1, link2, compiz-fusion