I guess this is a normal thing right since all four of my Missouri Meerschaum pipes have that chunk of wood in the bowl.
How do people deal with that wood? Is the only option to just be careful?
I only smoked wood once, on my first go with a MM, since then though I've been fine so it does look like I got the hang of it. The reason I ask though is because I just got a small one (The Shire Cobbit I believe) and it looks like it might be tricky since the bowl is so small.
I presume that bit of wood is the reason MM pipes smoke so well?
The most common response I've gotten sums up to "Be a man and smoke it", I'm not sure about this though. I for one don't enjoy smoking cheap wood(or glue, as sometimes happens with cobs alas), it ruins the end of the bowl I wish to enjoy, and there's no need to torture myself. I share your frustration with this wood, and I think it's the only thing standing in the way from total cob enjoyment. Dry smoke, cool smoke, can be smoked frequently, light weight, excellent drilling(wide and open), just a great pipe and unbeatable for the money... just that damn wood insert.
My solution has been to hack away at that wooden insert until i've picked the entire sides off, and some of the bottom. When I'm done, the bottom of the bowl is no longer flush but somewhat lower than before with the draft hole. At this point, I fill the cob with pipe mud(fine ash from a cigar with a few drops of water, less is more). A recipe can be found on youtube, there are lots of videos and tutorials for it. What I do is tightly pack this cement-like substance into the bottom until the bowl is flush. I add some to the sides, which naturally occurs since I'm using the back of a drumstick, so it's rounded like a finger(You could also use a finger if you have nothing else and your fingers fit in the bowl). It helps to press as hard as possible, and you should have covered the wood completely. I rest it for a few days to completely dry the pipe mud. Now, you'll only get the tiniest hint of something off, and this will disappear with time. I've only done this to one of my cobs so far but I've been so happy with the results that this will be my go-to procedure with any cob I get. I highly recommend trying it with a new cob if the wood bothers you.