Welcome! Your DD has a fascinating hobby there :-) I wouldn't think it was a problem in itself - she's quite old enough to have her own particular likes. Would it maybe help to arrange for her to have a special shoulder bag or small tin that will fit in a pocket or something like that to put her treasures in when she needs to climb? If she's like my DS with his treasures, simply offering to hold them for her or suggesting she put them in an existing pocket may not help, but offering her a special solution just for them may.
I think a certain degree of obsessiveness is normal at this age, although needing to go everywhere with a favourite teddy is commoner than needing to collect small things! But of course, if you feel that your DD's behaviour goes beyond normal and you're worried, I don't want to put you off seeking expert advice.