Any crystal can become addictive, but its not addictive in the sense that one would get withdrawal symptoms though, its a pure fascination addiction, we feel better using them or in their presence. What happens next is we can panic if we lose our favourite stone and thats when it can go a bit wrong. There are ways of bonding and attuning with your chosen crystal that are very easy and it means that you carry that crystals energy with you, so no worries if the stone goes walkabout or moves on its path to another.
Tigers Eye is a wonderful grounding stone, but there are many others, Hematite, Black Obsidian, Boji Stones, Red Jasper, Black tourmaline, Smoky quartz, Pyrite, hundreds, so its easy to find one to suit
