Ice blocks, blizzard, and squalls are the Ice Climber's bread and butter. Don't be afraid to be as annoying with them as possible.
![Laugh :laugh: :laugh:](/styles/default/xenforo/smilies/laugh.gif)
Regarding the chain grabs, you should learn what works on who and at what percentages. Here's a basic guide:
Basic Dthrows chain grab-
Easy to do against (Can last above 30% if done right): Fox, Wolf, Shiek, Bowser, King Dedede, Ike, Ganondorf, Charizard, Ivysaur, DK, Link, and Snake (taking he doesn't counter with grenades)
Average (Can last until about 30% if done right): Mario, Luigi, Diddy, Wario, Yoshi, Toon Link, Samus, Zero Suit Samus, ROB, Falco, Olimar, Pikachu, Squirtle, Lucario, Captain Falcon, Marth, Ness, Lucas, and Sonic
Hard to do against (Character can break out as early as the first attack if timed right): Zelda, Pit, Ice Climbers (unless it's a single Ice Climber), Kirby, Metaknight, Jigglypuff, and Mr. Game and Watch.
Fthrow to grab to repeating/fthrow to dthrow to grab chain grab to repeating:
Easy to do against: Bowser, DK, Link, Shiek, Ganondorf, Samus, ROB, King Dedede, Fox, Wolf, Captain Falcon, Ivysaur, Charizard, Marth, Ike, and Snake (again, without grenade counters)
Average: Mario, Luigi, Diddy Kong, Yoshi, Wario, Toon Link, Zero Suit Samus, Falco, Olimar, Pikachu, Lucario, and Sonic.
Hard to do against: Peach, Zelda, Pit, Ice Climbers (unless it's a single Ice Climber), Kirby, Metaknight (learn to hate him), Squirtle, Jigglypuff, Ness (for some odd reason...), Lucas (same), and Mr. Game and Watch.
Fthrow/dthrow into fair spike has different timing based on general character weight class so try to keep that in mind. With that said, look at the things I said above to get a general idea how well it and Ice block locks work against certain characters.
That's all the general stuff I can think of for now.