A common chanukah question:
Question: If my spouse lights a chanukiah in our home on time, and I will not come home until later that night, do I light when I arrive at home?
One's spouse may light on his behalf at home, exempting him from his obligation to light. However, there may be a separate obligation to see a chanukiah, personally. Therefore, assuming someone will be awake to see his chanukiah when he lights, the person who comes home late should state that he is not relying upon the lighting taking place in his home, and he should light upon arriving home.
[I used male pronouns to simplify the language, but I believe this applies equally to men and women.]
(Shulchan Aruch Orach Chaim 676:3, 677:3; Mishneh Berurah 677:14; Aruch haShulchan Orach Chaim 676:7; Igrot Moshe Orach Chaim 5:43:1; Mishneh Halachot 15:207:1)