Runninglate for the meeting, she quickly gathered her papers and left the office. The underlined part is an example of -

• Running late for the meeting, she quickly gathered her papers and left the office. The underlined part is an example of - Non-finite verb

• Non-finite verb: 
- A non-finite verb is a verb form that does not show tense.
- Most non-finite verbs found in English are infinitives, participles, and gerunds.
- যে verb দ্বারা sentence এর বক্তব্য শেষ হয়না ও কোন Subject এর person ও number দ্বারা যার রূপ নির্ণয় করা যায় না তাকে Non finite verb বলে। 

• উল্লিখিত বাক্যে Running হচ্ছে Participle.
- Here, "Running" is modifying the subject "she" and describes her action or state of being late for the meeting.
- তাই, এটি Non-finite verb.

Source: Cambridge Dictionary.