I think I have succeeded in cutting back on the amount of alcohol I consume, which was a good opportunity for me.
この場合、次のような言い方ができますよ。
ーI think I have succeeded in cutting back on the amount of alcohol I consume, which was a good opportunity for me health-wise.
「飲酒量を減らすのに成功し、健康のためのよい機会となった」
to cut back on ... で「…を減らす」
ご参考まで!