Running down daughter, is dad with anger unkind, wasting a bit of time? (13)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

D (daughter) + IS (from surface) + PA =”dad” + RAGE =”anger”, plus ME -[a]- N =”unkind” removing/”wasting” the letter “a” (from surface); plus T =first letter/”bit” of t-[ime]